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Finding the Fourth Proportional to 9,997.22, 14,964.37 and 6,858.87

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Solution

The fourth proportional to 9,997.22, 14,964.37 and 6,858.87 is: 10,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.22 : 14,964.37 = 6,858.87 : x
  2. Step 2: Convert to fraction form
    9,997.22/14,964.37 = 6,858.87/x
  3. Step 3: Cross multiply
    9,997.22x = 14,964.37 × 6,858.87
  4. Step 4: Simplify right side
    9,997.22x = 102,638,651.31
  5. Step 5: Solve for x
    x = 102,638,651.31/9,997.22
  6. Step 6: Final answer
    x = 10,266.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.